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A334999 Permutation of nonnegative integers that converts A162911 into A162912.

%I A334999 #22 Sep 04 2020 20:09:26
%S A334999 1,3,2,5,6,7,4,9,14,11,8,13,10,15,12,17,22,19,16,21,26,23,20,25,30,27,
%T A334999 24,29,18,31,28,33,38,35,32,37,58,39,36,41,46,43,40,45,34,47,44,49,54,
%U A334999 51,48,53,42,55,52,57,62,59,56,61,50,63,60
%N A334999 Permutation of nonnegative integers that converts A162911 into A162912.
%C A334999 For n > 0, A162911(a(n)) = A162912(n), as well as A162911(A054429(n)) = A162912(n). There is a self-inverse permutation, b, such that a(b(n)) = A054429(n), and a(n) = A054429(b(n)).
%H A334999 Yosu Yurramendi, <a href="/A334999/b334999.txt">Table of n, a(n) for n = 1..4095</a>
%H A334999 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%o A334999 (R)
%o A334999 nmax <- 31
%o A334999 A334998 <- 1; A334999 <- 1
%o A334999 for(n in 1:31) {
%o A334999   A334998[2*n  ] <- 2*A334999[n]+1
%o A334999   A334998[2*n+1] <- 2*n
%o A334999   A334999[2*n  ] <- 2*n+1
%o A334999   A334999[2*n+1] <- 2*A334998[n]
%o A334999 }
%o A334999 A334998; A334999
%Y A334999 Cf. A334998 (inverse), A054429, A162911, A162912.
%K A334999 nonn
%O A334999 1,2
%A A334999 _Yosu Yurramendi_, May 19 2020